[PDF][PDF] Recent Advances in Practical Data Reduction.
Over the last two decades, significant advances have been made in the design and analysis
of fixed-parameter algorithms for a wide variety of graphtheoretic problems. This has …
of fixed-parameter algorithms for a wide variety of graphtheoretic problems. This has …
Connectivity constrains quantum codes
N Baspin, A Krishna - Quantum, 2022 - quantum-journal.org
Quantum low-density parity-check (LDPC) codes are an important class of quantum error
correcting codes. In such codes, each qubit only affects a constant number of syndrome bits …
correcting codes. In such codes, each qubit only affects a constant number of syndrome bits …
Fully polynomial-time parameterized computations for graphs and matrices of low treewidth
We investigate the complexity of several fundamental polynomial-time solvable problems on
graphs and on matrices, when the given instance has low treewidth; in the case of matrices …
graphs and on matrices, when the given instance has low treewidth; in the case of matrices …
Fast and optimal extraction for sparse equality graphs
Equality graphs (e-graphs) are used to compactly represent equivalence classes of terms in
symbolic reasoning systems. Beyond their original roots in automated theorem proving, e …
symbolic reasoning systems. Beyond their original roots in automated theorem proving, e …
[PDF][PDF] Integrating tree decompositions into decision heuristics of propositional model counters
Abstract Propositional model counting (# SAT), the problem of determining the number of
satisfying assignments of a propositional formula, is the archetypical# P-complete problem …
satisfying assignments of a propositional formula, is the archetypical# P-complete problem …
An experimental study of the treewidth of real-world graph data
Treewidth is a parameter that measures how tree-like a relational instance is, and whether it
can reasonably be decomposed into a tree. Many computation tasks are known to be …
can reasonably be decomposed into a tree. Many computation tasks are known to be …
Constructing optimal contraction trees for tensor network quantum circuit simulation
One of the key problems in tensor network based quantum circuit simulation is the
construction of a contraction tree which minimizes the cost of the simulation, where the cost …
construction of a contraction tree which minimizes the cost of the simulation, where the cost …
Treewidth-aware cycle breaking for algebraic answer set counting
Probabilistic reasoning, parameter learning, and most probable explanation inference for
answer set programming have recently received growing attention. They are only some of …
answer set programming have recently received growing attention. They are only some of …
Treewidth-aware reductions of normal ASP to SAT–Is normal ASP harder than SAT after all?
M Hecher - Artificial Intelligence, 2022 - Elsevier
Abstract Answer Set Programming (ASP) is a paradigm for modeling and solving problems
for knowledge representation and reasoning. There are plenty of results dedicated to …
for knowledge representation and reasoning. There are plenty of results dedicated to …
Exploiting database management systems and treewidth for counting
Bounded treewidth is one of the most cited combinatorial invariants in the literature. It was
also applied for solving several counting problems efficiently. A canonical counting problem …
also applied for solving several counting problems efficiently. A canonical counting problem …